Note: I took for granted above an important relabeling isomorphism, which identifies which $\alpha^m$ is the correct vector to represent $\alpha^a$ in a totally different space (one lives in $\mathcal T^a$, one lives in $\mathcal T^m$). So this is the coordinate-independent notion of trace which can be used to reduce any $$-tensor to an $$-tensor field, as long as neither of those two resulting numbers is negative. The resulting contraction is the vector $(\gamma_m~\alpha^m)\beta^n + \dots + (\omega_m~\chi^m)~\psi^n.$ Those terms in parentheses are applications of a covector to a vector to produce a scalar, so we're just adding together scalar multiples of vectors to create a new vector. Question: ON MATHEMATICA Let SubscriptC, 1 be the curve defined by the equation (x2+3y2-2)(x3-x y+y2-4)0 and let SubscriptC, 2 be the parametric.
Subscript in mathematica how to#
And I couldnt figure out how to make it look like as I. Subscripts are commonly used to indicate indices (a(ij) is the entry in the ith row and jth column of a matrix A), partial differentiation (yx is an abbreviation for partialy/partialx), and a host of other operations and notations in mathematics. In mathematical context, to make subscript and superscript, the key board shortcut are underscore and. Mathematica has (as far as I know) the best solver (available) for.
$$(\vec \nabla_B)_i (\vec A\cdot \vec B) = \vec A\cdot\frac_b = \alpha^a~\beta^n~\gamma_b + \dots + \chi^a~\psi^n~\omega_b. A quantity displayed below the normal line of text (and generally in a smaller point size), as the 'i' in ai, is called a subscript. (n-1) + 3 B (n-1) A subscript n 4 A subscript (n-1) + 3 B subscript (n-1). The notation $\vec \nabla_B$ means simply that the derivative are I have found two separate Physics SE answers that imply different meanings. In particular, expressions with subscripts are treated as functions of their components and not independent symbols. The Wolfram Language uses various syntactic rules to interpret input. You can resolve any issues with defining such variables by using the function Symbolize in the Notation Package. Expressions containing subscripts, superscripts or more general symbols can be specified as variables using the Symbolize function in the Notation Package. This can lead to recursion errors or other undesired behavior. For example, the sequence $$\langle x_0,x_1,x_2,x_3,\dots\rangle$$ of real numbers is a shorthand for the function $$x:\Bbb N\to\Bbb R:n\mapsto x_n\ ,$$ so that we could just as well write $x(n)$ as $x_n$.I am trying to understand the meaning of $\nabla$ when it appears with subscript. In the Wolfram Language, attempting to define variables with subscripts can lead to errors. The Wolfram Language uses various syntactic rules to interpret input. From a more formal point of view, however, a sequence is actually just a function. Consequently, things designed to work with symbols often dont work well with Subscriptu,2. You can think of these subscripts simply as labels to keep the positions straight, just as we can use $\langle x_1,x_2,x_3\rangle$ for an ordered triple representing a point in $3$-space. Input of the form To enter a subsuperscript in a notebook, use either to begin a regular subscript or to begin a regular superscript. This particular sequence is the Fibonacci sequence, which is defined by setting $F_0=0$ and $F_1=1$, thereby establishing the zero-th and first terms, and defining the rest recursively by the relationship that you quoted in your question: $$F_n=F_$ are identical, the sequences $\langle x_0,x_1,x_2,x_3,\dots\rangle$ and $\langle x_1,x_0,x_3,x_2,\dots\rangle$ are not. In this case the subscripts tell you which term of the sequence you’re looking at: $F_n$ is the $n$-th term of the sequence.
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